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10312100323 = 721492775099
BaseRepresentation
bin10011001101010011…
…00010100111100011
3222121200000222021121
421212221202213203
5132104344202243
64423132033111
7513354256300
oct114651424743
928550028247
1010312100323
114411a03668
121bb9602797
13c84563b15
146db7a60a7
154054ac1ed
hex266a629e3

10312100323 has 24 divisors (see below), whose sum is σ = 12122190000. Its totient is φ = 8746210368.

The previous prime is 10312100287. The next prime is 10312100327. The reversal of 10312100323 is 32300121301.

10312100323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10312100323 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10312100297 and 10312100306.

It is not an unprimeable number, because it can be changed into a prime (10312100327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2019828 + ... + 2024926.

It is an arithmetic number, because the mean of its divisors is an integer number (505091250).

Almost surely, 210312100323 is an apocalyptic number.

10312100323 is a deficient number, since it is larger than the sum of its proper divisors (1810089677).

10312100323 is a wasteful number, since it uses less digits than its factorization.

10312100323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5539 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10312100323 its reverse (32300121301), we get a palindrome (42612221624).

The spelling of 10312100323 in words is "ten billion, three hundred twelve million, one hundred thousand, three hundred twenty-three".

Divisors: 1 7 49 149 277 1043 1939 5099 7301 13573 35693 41273 249851 288911 759751 1412423 2022377 5318257 9886961 37227799 69208727 210451027 1473157189 10312100323